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Q.

The heat reservoir of an ideal Carnot engine is at $800 K$ and its sink is at $400 K$ . The amount of heat taken in one second to produce useful mechanical work at the rate of $750 J / s$ is

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a

$2250 J$

b

$1125 J$

c

$1500 J$

d

$750 J$

answer is C.

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Detailed Solution

$\frac{W}{Q} = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{400}{800} = 0.5$

or

$Q = \frac{W}{0.5} = \frac{750}{0.5} = 1500 J$

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